Given numbers are 278,205,417

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 278,205,417 is 170970.

Find LCM of 278,205,417 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

139 x 2 x 205 x 3 = 170970

Therefore, the lowest common multiple of 278,205,417 is 170970.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

278 x 205 x 417 = 23764830

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

278 : 1, 2, 139, 278

205 : 1, 5, 41, 205

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,205,417, is 1.

Now, the common factors can be found like this.

278:2x 139

205:5x 41

417:3x 139

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

139 = 139

Therefore, the value for common factors is 139.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 23764830/(1x139)

LCM = 23764830/139

LCM = 170970

Thus, we can understand that the LCM of 278,205,417 is 170970.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 300, 808, 628
• LCM of 888, 691, 104
• LCM of 616, 974, 400
• LCM of 972, 480, 551
• LCM of 513, 264, 534

1. What is the LCM of 278, 205, 417?

Answer: LCM of 278, 205, 417 is 170970.

2. How to calculate the LCM of 278, 205, 417?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 278, 205, 417.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.